What are the Factors of 300?

What are the Factors of 300?

The following are the different types of factors of 300:

• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

• Negative Factors of 300: -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -25, -30, -50, -60, -75, -100, -150, -300

• Prime Factors of 300: 2, 3, 5

• Prime Factorization of 300: $2^2\times3^1\times5^2$

Factors by Division Method

To calculate the factors of 300, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 300 ÷ 2 = 150
Step 2: 150 ÷ 2 = 75
Step 3: 75 ÷ 3 = 25
Step 4: 25 ÷ 5 = 5
Step 5: 5 ÷ 5 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 300: $2\times2\times3\times5\times5$

• Prime Factorization of 300: $2^2\times3^1\times5^2$

The factors will be all the multiples of 1, 2, 2, 3, 5, 5, 25, 75, 150, 300

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
5 = 1 x 5
6 = 2 x 3
10 = 2 x 5
12 = 1 x 2 x 2 x 3
15 = 3 x 5
20 = 2 x 2 x 5
25 = 1 x 25
50 = 2 x 25
60 = 1 x 2 x 2 x 3 x 5
75 = 1 x 75
100 = 2 x 2 x 25
150 = 1 x 150
300 = 1 x 300

Finally Factors of 300 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300